Where fvdp is the fraction of the total aerosol volume in

Question

Assume that an aerosol has a log-normal distribution with D^-_pg = 5.5 µm and σ_g = 1.36.

a) Plot the number and volume distributions of this aerosol on log-probability paper.

b) It is desired to represent this aerosol by a distribution of the form

F_V(D_p) = 1 - exp(-cD^b_p)

where F_V(D_p) is the fraction of the total aerosol volume in particles of diameter less than D_p. Determine the values of the constants c and b needed to match this distribution to the given aerosol.